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2 years ago

Consider the exponential function f(x) =1/5(15x). What is the value of the growth factor of the function?

Mathematics

2 answers:

cluponka [151]2 years ago

6 0

we know that

An exponential function is a function where the input, x, appears in the exponent.

the equation of an exponential function usually looks like:

$y=ab^{x}$

where

a is a number called the initial value

b is a number called the growth factor

In this problem

we have

$f(x) =\frac{1}{5}(15^{x})$

where

$\frac{1}{5}$ -------> is the initial value

$15$ ------> is the growth factor

therefore

the answer is the option

$D. 15$

Gemiola [76]2 years ago

3 0

The answer is 100% D - 15

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Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that $p = 0.7$

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that $n = 5$

a. All five qualify for the favorable rate

This is P(X = 5). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

$P(X \geq 4) = P(X = 4) + P(X = 5)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

2 years ago

IQ scores based on the Stanford-Binet IQ test are normally distributed with a mean of 100 and standard deviation 15. If you wer

lianna [129]

Answer:

95 intervals

Step-by-step explanation:

Given that

population mean = 100

standard deviation = 15

number of interval that involve the mean for 95% confidence interval is calculated as

We know that when we measure the 99 percent confidence interval, 99 outof 100 confidence interval are required to provide the mean population.

similarly

Assuming we measure a confidence interval of 95 percent, then we should expect 95 out of 100 confidence interval to provide the mean population therefore, answer is 95

7 0

2 years ago

The product of 3.41 and 8.5 will have how many decimal places?

Aleks04 [339]

Hello!

3.41 × 8.5 = 28.985

The product of 3.41 and 8.5 is 28.985, which has three decimal places.

3 0

2 years ago

HELP HELP ME PLEASE!!!

Harman [31]

Use the cone formula:
$V = \pi r^{2} \frac{h}{3}$
And so:
$Area = \pi * 150^{2} * \frac{240}{3} = 5654866.7 inches^{2}$
5654866.7 / 12000 = 471,
So the answer is 471 weeks.

Hope this helps.

7 0

2 years ago

Read 2 more answers

If that is the wrong answer then what is the right answer .

trapecia [35]

Well whats the question

5 0

2 years ago